Relevance of Metric-Free Interactions in Flocking Phenomena

Francesco Ginelli; Hugues Chaté

doi:10.1103/physrevlett.105.168103

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arXiv · 1007.1783

Relevance of Metric-Free Interactions in Flocking Phenomena

Francesco Ginelli·Hugues Chaté

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Abstract

We show that the collective properties of self-propelled particles aligning with their "topological" (Voronoi) neighbors are qualitatively different from those of usual models where metric interaction ranges are used. This relevance of metric-free interactions, shown in a minimal setting, indicate that realistic models for the cohesive motion of cells, bird flocks, and fish schools may have to incorporate them, as suggested by recent observations.

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Francesco Ginelli, Hugues Chaté. 2010-09-16. Relevance of Metric-Free Interactions in Flocking Phenomena. https://doi.org/10.1103/physrevlett.105.168103

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